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How well do you understand inductive and deductive reasoning, and how to use them in geometry?

The questions on this page are similar to ones you will see on this lesson's quiz. Answer all of these questions, and read the feedback carefully. If you don't understand why one of your answers was incorrect, review that part of this lesson.

1) Deduction uses definitions, postulates, and theorems to make conjectures.

  1. True
  2. False

Rules, laws, and facts are also used for deduction.

Rules, laws, and facts are also used for deduction.

2) Induction uses contrapositive statements to make conjectures.

  1. True
  2. False

Lots of data is important for induction.

Lots of data is important for induction.

3) Jessica applies the law of syllogisms to several conditional statements to make a conjecture about circles. What kind of reasoning is Jessica using?

  1. Inductive Reasoning
  2. Deductive Reasoning

Using rules logic is key to deciding the kind of logical reasoning Jessica is using.

Using rules logic is key to deciding the kind of logical reasoning Jessica is using.

4) Jerome has collected data about the height of his classmates. He wants to use this information to predict the height of any new student. What kind of reasoning is Jerome using?

  1. Inductive Reasoning
  2. Deductive Reasoning

Collecting data to make a conjecture is key to deciding the kind of logical reasoning Jerome is using.

Collecting data to make a conjecture is key to deciding the kind of logical reasoning Jerome is using.

5) What is the next number in this sequence? 3, 4, 7, 11, 18, 29…

  1. 41
  2. 54
  3. 47
  4. 52

Add the last two numbers to make the next.

Add the last two numbers to make the next.

Add the last two numbers to make the next.

Add the last two numbers to make the next.

6) It's been proven that the sum of two even numbers is always even. Given the two numbers 12 and 30, what can you say about their sum?

  1. It will be less than either number.
  2. It will be odd.
  3. It will be even.
  4. It will equal 18.

Use the law of detachment.

Use the law of detachment.

Use the law of detachment.

Use the law of detachment.

Summary

Questions answered correctly:

Questions answered incorrectly: